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Finding the Third Proportional to 229,872.50 and 453,850

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Solution

The third proportional to 229,872.50 and 453,850 is: 896,061.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,872.50 : 453,850 = 453,850 : x
  2. Step 2: Convert to fraction form
    229,872.50/453,850 = 453,850/x
  3. Step 3: Cross multiply
    229,872.50x = 453,850 × 453,850
  4. Step 4: Simplify right side
    229,872.50x = 205,979,822,500
  5. Step 5: Solve for x
    x = 205,979,822,500/229,872.50
  6. Step 6: Final answer
    x = 896,061.18

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.